If you limit an addict's ability to get medical insurance, you'll end up subsidizing them anyway. Hospitals are prohibited from turning patients away in the US (and I wouldn't want to live in a world where they could do so). So addicts show up, get treated, and default on any bills they incur. The expense from this treatment gets passed on to everyone else. Try visiting an emergency room at 1am on a Saturday night and you'll see what I mean.

Incidentally, do you have the same views on employment, insurance, and government benefits as they pertain to alcohol consumption?